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Math

Last updated August 2024 

Mathematics education in the District of Columbia Public Schools (DCPS) is an engaging, dynamic student-centered learning experience. Guided by teachers’ deep knowledge of the Common Core Content and Practice Standards, students will be motivated and challenged as they develop conceptual understanding, apply understanding to unfamiliar, real world mathematical situations, and fluently manipulate numbers and symbols. Through these engaging experiences, students will develop competency in the eight mathematical practices. Teachers and students have access to high-quality Common Core-aligned curricular resources, purposeful and actionable data obtained from quality assessments, and targeted professional development designed to support teachers and staff in the implementation of the DCPS Mathematics Instructional Block. 

DCPS math instruction is designed around the research and best practice in mathematics education, namely in helping students develop the 5 strands of mathematical proficiency. For more information about the 5 strands of proficiency, visit this site.  

In K-5, DCPS utilizes the Eureka Math curriculum. For middle and high school, DCPS uses Illustrative Mathematics. For more information on the units of study by grade level, see below.  

Major Units of Study

Elementary School Units by Grade Level 

Kindergarten

 Grade 1 Grade 2 Grade 3 Grade 4 Grade 5
  • Numbers to 10 
  • 2-Dimensional & 3-Dimensional Shapes 
  • Comparison of Length, Weight, Capacity, & Numbers to 10 
  • Number Pairs, Addition & Subtraction to 10 
  • Numbers 10-20 & Counting to 100 
  • Analyzing, Comparing, & Composing Shapes 
  • Sums & Differences to 10 
  • Introduction to Place Value Through Addition & Subtraction Within 20 
  • Ordering & Comparing Length Measurements as Numbers 
  • Place Value, Comparison, Addition & Subtraction to 40 
  • Identifying, Composing, & Partitioning Shapes
  • Place Value, Comparison, Addition & Subtraction to 100 
  • Sums & Differences to 100 
  • Addition & Subtraction of Length Units 
  • Place Value, Counting, & Comparison of Numbers to 1,000 
  • Addition & Subtraction Within 200 with Word Problems to 100 
  • Addition & Subtraction Within 1,000 with Word Problems to 100 
  • Foundations of Multiplication & Division 
  • Problem Solving with Length, Money, & Data 
  • Time, Shapes, & Fractions as Equal Parts of Shapes 
  • Properties of Multiplication & Division & Solving Problems with Units of 2-5 & 10 
  • Place Value & Problem Solving with Units of Measure 
  • Multiplication & Division with Units of 0, 1, 6-9, & Multiples of 10 
  • Multiplication & Area 
  • Fractions as Numbers on the Number Line
  • Collecting & Displaying Data 
  • Geometry & Measurement Word Problems
  • Place Value, Rounding, & Algorithms for Addition & Subtraction 
  • Unit Conversions & Problem Solving with Metric Measurement 
  • Multi-Digit Multiplication & Division 
  • Angle Measure & Plane Figures 
  • Fraction Equivalence, Ordering, & Operations 
  • Decimal Fractions
  • Exploring Measurement with Multiplication 
  • Place Value & Decimal Fractions 
  • Multi-Digit Whole Numbers & Decimal Fraction Operations 
  • Addition & Subtraction of Fractions 
  • Multiplication & Division of Fractions & Decimal Fractions 
  • Addition & Multiplication with Volume & Area 
  • Problem Solving with the Coordinate Plane

 

Middle School Units by Grade Level
Grade 6 Grade 7 Grade 8
  1. Area and Surface Area 
  2. Introducing Ratios 
  3. Unit Rates and Percentages 
  4. Dividing Fractions 
  5. Arithmetic in Base Ten 
  6. Expressions and Equations 
  7. Rational Numbers 
  8. Data Sets and Distribution 
  9. Putting it All Together 
  1. Scale Drawings 
  2. Introducing Proportional Relationships 
  3. Measuring Circles 
  4. Proportional Relationships and Percentages 
  5. Rational Number Arithmetic 
  6. Expressions, Equations, and Inequalities 
  7. Angles, Triangles, and Prisms 
  8. Probability and Sampling 
  9. Putting it All Together 
  1. Rigid Transformations and Congruence 
  2. Dilations, Similarity, and Introducing Slope 
  3. Linear Relationships 
  4. Linear Equations and Linear Systems 
  5. Functions and Volume 
  6. Associations in Data 
  7. Exponents and Scientific Notation 
  8. Pythagorean Theorem and Irrational Numbers 
  9. Putting it All Together 

 

High School Units
Algebra I Geometry Algebra 2
  1. One-variable Statistics 
  2. Linear Equations, Inequalities, and Systems 
  3. Two-variable Statistics 
  4. Functions 
  5. Introduction to Exponential Functions 
  6. Quadratic Equations 
  1. Constructions and Rigid Transformations 
  2. Congruence 
  3. Similarity 
  4. Right Triangle Trigonometry 
  5. Solid Geometry 
  6. Coordinate Geometry 
  7. Circles 
  8. Conditional Probability 
  1. Sequences and Functions 
  2. Polynomials and Rational Functions 
  3. Complex Numbers and Rational Exponents 
  4. Exponential Functions and Equations 
  5. Transformations of Functions 
  6. Trigonometric Functions 
  7. Statistical Functions 

 

Contact Information

Jessica Gonzalez, Director, Math Strategy and Advancement 

Dr. Kourtney Miller, Director, Secondary Math 

Kaila Ramsey Garza, Director, Elementary Math & Science